86306137060 has 144 divisors (see below), whose sum is σ = 214810747200. Its totient is φ = 28933597440.

The previous prime is 86306137051. The next prime is 86306137087. The reversal of 86306137060 is 6073160368.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39607051 + ... + 39609229.

It is an arithmetic number, because the mean of its divisors is an integer number (1491741300).

Almost surely, 2^86306137060 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86306137060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107405373600).

86306137060 is an abundant number, since it is smaller than the sum of its proper divisors (128504610140).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

86306137060 is a wasteful number, since it uses less digits than its factorization.

86306137060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3482 (or 3469 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The spelling of 86306137060 in words is "eighty-six billion, three hundred six million, one hundred thirty-seven thousand, sixty".